Answer:
Step-by-step explanation:
Rewrite x2 + 15x = -57 as x^2 + 15x + 57 = 0, in which the coefficients of this quadratic are {1, 15, 57}.
Then the discriminant is b^2 - 4ac = 225 - 4(1)(57) = -3
Because the discriminant is negative, we know that the two roots will be complex. They are:
-15 ±i√3
x = ---------------
2
9514 1404 393
Answer:
x = -7.5 ± i(√3)/2
Step-by-step explanation:
We can add (15/2)² to complete the square:
x² +15x +(15/2)² = -57 +(15/2)²
(x +7.5)² = -0.75
x +7.5 = ±i(√3)/2 . . . . take the square root
The roots are ...
[tex]x=\displaystyle\left \{ {{-\dfrac{15}{2}+i\dfrac{\sqrt{3}}{2}} \atop {-\dfrac{15}{2}-i\dfrac{\sqrt{3}}{2}}} \right.[/tex]
Multiply
7z3 (2z2 – 4z).
A. 14z5 – 28z4
B. 9z5 – 11z4
C. 14z6 – 28z4
D. –14z
Answer:
14z⁵-28z⁴
Step-by-step explanation:
hope this helps =)
The coordinates of the vertices of the preimage of a parallelogram are (1,5), (3,3), (3,7), and (5,5). The coordinates of the vertices of the image are (−5,3), (−3,1), (−3,5), and (−1,3).
How far and in what direction was the parallelogram translated? Write your answer using mapping notation and practice reading your answer aloud.
The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
Given the preimage of a parallelogram with vertices (1,5), (3,3), (3,7), and (5,5).
If we plot in the coordinate plane as shown below.
Now plot the image of a parallelogram with vertices (−5,3), (−3,1), (−3,5), and (−1,3).
If we take only one vertex of the preimage to let's say (1,5) now if we look at the corresponding vertex in the image then it is (-5,3).
1 + x = -5 ⇒ x = -6 (6 units left)
5 + y = 3 ⇒ y = -2 (2 units down)
Hence "The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram".
To learn more about the transformation of graphs,
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Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
A car salesman has a salary of $600 a week. He also earns a 25% commission on the profit of his total sales. One week, he sold several vehicles for a final profit of $8500. How much money will he make that week in total.
Find the equation of the line (help please)
Answer:
c
Step-by-step explanation:
solve the following equation for the variable indicated
15 = Зn + 6р, for n
Answer:
Solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]15 = 3n + 6p[/tex] for variable n
Solving:
[tex]15 = 3n + 6p[/tex]
Subtract both sides by 6p
[tex]15-6p = 3n +6p -6p\\15-6p=3n[/tex]
Switch sides of equality
[tex]3n=15-6p[/tex]
Divide both sides by 3
[tex]\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p[/tex]
So, solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]
A factory worker can package 180 games in 15 minutes. How many games can he package per minute?
look at picture i need help
3.2 geometry worksheet
Answer:
Step-by-step explanation:
5)
21x + 4 = 22x - 2
6 = x
6)
x + 72 + x + 132 = 180
2x + 204 = 180
2x = -24
x = -12
7)
22x + 2 = 90
22x = 88
x = 4
8)
12x + 10 = 13x + 3
7 = x
9)
17x = 16x + 5
x = 5
17(5) = 85°
10)
20x = 21x - 6
-x = -6
x = 6
20(6) = 120º
hope this helps <3
HELP ME PLEASE NOWWW PLEASE AND THANK YOU
Answer:
X= 12
Step-by-step explanation:
3:9 is the ratio
1:3 is equal therefore the multiplicative factor is 3
lastly you do 4 times 3 to get 12 as the value for x
PS fac k you moderators I got my answer correct and u delete them fac k you
The temperature in the morning was−8 °F. The temperature dropped 13 degrees by night. What is the temperature at night?
Answer:
-21 degrees
Step-by-step explanation:
-8+(-13)=-21
of the 80 students who signed up for after school clubs , 16 students signed up for the art club and the the other one signed up for different clubs find the ratio of the number of students who signed up for art club and student who sighned up for other clubs express your answer in simplest form
Answer:
Ratio of student who signed up for art club:
1/5
Ratio who signed other club:
4/5
Step-by-step explanation:
First find out ratio who signed up for art club
you have 16 out of 80
find the common factor: 16
16/16 = 1
80/16 = 5
so 1/5
other clubs is the rest so 5/5 - 1/5 = 4/5
please give thanks :)
PLEASEEEEE HELPPPPP!!
Answer:
1) b-x/a
Step-by-step explanation:
Answer:
Option 1
Step-by-step explanation:
x + ay = b
Subtract x from both sides;
ay = b - x
Divide both sides by a;
y = [tex]\frac{b-x}{a}[/tex]
If 3 tan A =cot A and A is an acute angle find angle A
Please, I need detailed explaination
Answer:
A is 30 degrees.
Step-by-step explanation:
cot A = 1/ tan A
Therefore 3 tan A = 1 / tan A
3 tan^2 A = 1
tan^2 A = 1/3
tan A = 1 /√3 is A is acute.
A = 30 degrees.
This is about trigonometric identities.
A = 30°
In trigonometric identities, we know that;Tan A = sin A/cos A
Cosec A = 1/sin A
Sec A = 1/cos A
Cot A = 1/tan A
Now, we are given;3 tan A = cot A
But we know from above that Cot A = 1/tan A
Thus;
3 tan A = 1/tan A
Rearranging to get;
(tan A)² = 1/3
tan A = √(1/3)
tan A = 1/√3
Now, from surd form of special angles, we know that;sin 30° = cos 60° = 1/2
sin 60° = cos 60° = (√3)/2
sin 45° = cos 45° = 1/√2
tan 30° = 1/√3
tan 60° = √3
tan 45° = 1
Comparing tan A = 1/√3 with the surd forms listed above, we can see that;A = 30°
A is said to be an acute angle which means it is less than 90° and so it is correct.
Read more at; https://brainly.com/question/24836845
Which equation represents the graph of Charli's line? A. y= -3/4x-3. B. Y= 3/4x- 4. C. y = -4/3x- 4. D. y= 4/3x- 3. LOOK AT THE PHOTO PLZZ
If anyone knows the answer please help me
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 7x - 10 ← is in slope- intercept form
with slope m = 7
Parallel lines have equal slopes, thus
m = 7 and point on line is T(- 3, 3 )
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line, then
y - 3 = 7(x - (- 3) ), that is
y - 3 = 7(x + 3) → D
Jack bought a new car. The price of the car was $18,936. He paid $3,000 upfront and got a loan for the remaining balance. If he paid the same amount each month for 4 years (at which point the car is paid off), how much was his monthly payment?
Answer:
Step-by-step explanation:
Given that:
Price of car = $18,936
Upfront paid = $3000
Time taken to pay remaining balance = 4 years
Amount paid per month if the same amount is paid per month
Remaining balance :
($18,936 - $3000) = $15,936
Number of months in 4 years = (12 * 4). = 48 months
Amount paid per month :
$15,936 / 48
= $332
The radius of a circle is 8 millimeters. what's the circle's area
Answer:
2.0111 × 100 square kilometers (km²)
Answer: Answer: 2.0111 × 100 square kilometers (km²)
Step-by-step explanation:
Need Help me ASAP!!!!
Answer:
First option y=3/5x
Step-by-step explanation:
Because if you look on the graph, at x=5, y=3
in the equation, plug in x=5, you cancel out denominator left with y=3
please hit the heart button :) good luck
A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commission of 8% of sales how much sales did she make in a week for both plans to result in the same salary?
Answer:
$12500
Step-by-step explanation:
Given that:
Salary plan 1:
Weekly salary of $500.
And a commission of 4%.
Salary plan 2:
Straight commission of 8%.
To find:
Weekly sales for which both the plans will make the same sales?
Solution:
Let the weekly sales = $[tex]x[/tex]
As per question statement:
Salary as per Plan 1 = $500 + 4% of [tex]x[/tex]
Salary as per Plan 2 = 8% of [tex]x[/tex]
Putting both the salaries to equal to find the total weekly sales.
$500 + 4% of [tex]x[/tex] = 8% of [tex]x[/tex]
[tex]\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500[/tex]
Therefore, the answer is:
For the sales of $12500, the salary will be same from both the plans.
Find the difference
-2(c + 2.5) - 5(1.2c + 4)
xx squared - XY + x squared - xy
Answer and Step-by-step explanation:
[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]
This is the answer.
In case your expression is:
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]
Add similar elements: x²+x² = 2x²
[tex]=2x^2-xy-xy[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=2x^2-2xy[/tex]
Thus,
[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]
In case your expression is:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=x^2-2xy+\left(xx\right)^2[/tex]
as (xx)² = x⁴
so [tex]=x^2-2xy+x^4[/tex]
Therefore, we conclude that:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]Jay has a budget of $100. Jay spent $13 on movie tickets, $38 on dinner with his friend, and $11 on a taxi ride home. How much money does Jay have left in his budget?
Answer:
38
Step-by-step explanation:
100-13-38-11=38
So Jay has 38 dollars on the budget
If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?
Answer:
4.11 cups of skim milk
Step-by-step explanation:
You can get the answer by knowing the value of a cup in milliliters first.
1 cup = 250 mlLet's convert 3.58 cups to ml by using the multiplication operation.
3.58 x 250 = 895 ml895 ml is 87% of skim milk.
Let's convert this into an equation. Let x be the amount of skim milk.
895 = 87% of x
895 = 0.87(x)
x = [tex]\frac{895}{0.87}[/tex]
x = 1,028.73 ml
Now that we know the amount of skim milk, let's convert it to cups.
1,028.73 ml ÷ 250 ml = 4.11 cups
Let's check.
4.11 x 87% = 3.5757 or 3.58 cups (It's correct).4.11 cups of skim milk contain 3.58 cups of water.
Given,
Skim milk contain water is 87% of water = 0.87
We have to find ,
Total no. of Cups of skim of milk 3.58 cups of water.
According to the question .
The value of a cup in milliliters first.
We know that ,
1 cup = 250 ml
Let's convert 3.58 cups to ml
3.58 x 250 = 895 ml
895 ml is 87% of skim milk.
Let's convert this into an equation. Let x be the amount of skim milk.
895 = 87% of x
895 = 0.87(x)
[tex]x = \frac{895}{0.87}[/tex]
x = 1,028.73 ml
To know the amount of skim milk, let's convert it to cups.
1,028.73 ml ÷ 250 ml = 4.11 cups
For more information about Multiplication click the link given below .
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data collected showes that the more you water the larger your plant will grow if you use the following equation y=1/2×+2 how tall will a plant be at 25 weeks if x is the number of weeks waterd andby represents rhe height of the plant
SOMEONE PLEASE HELP DONT SKIP NO ONE EVERY HELPS ME AND MY GRADE DEPENDS ON THIS PLSSSSS
-3a+4=-14
All work shown please
Answer:
a=6
Step-by-step explanation:
subtract 4 from both sides
-3a+4-4=-14-4
simplify
-3a=-18
divide both sides by -3
-3a/-3=-15/-3
simplify
a=6
100 POINTS! WILL MAKE BRAINLIEST IF RIGHT!!!!
Answer:
[tex]-6 <f (x)\legslant 3[/tex]
Step-by-step explanation:
If you examine the diagram you can know
Extra information :-[tex]y=\dfrac {1}{x}[/tex]
[tex]\setlength{\unitlength}{2.5mm}\begin{picture}(10,10)\linethickness{0.45mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(-2,0){18}}\put(20,20){\vector(0,2){18}}\put(20,20){\vector(0,-2){18}}\multiput(19.35,6)(0,2){15}{\line(1,0){1.3}}\multiput(6,19.35)(2,0){15}{\line(0,1){1.3}}\put(20,20){\circle*{1}}\qbezier(20.5,35)(20,20)(35,20.5)\qbezier(19.5,5)(20,20)(5,19.5)\end{picture}[/tex]
Answer:
up me is right :) so get his answer :)
PLZZZ Help with this!
Star A is about 3.4 X 10^18 miles from Earth. Star B is 6.8 X 10^16 miles from Earth. Star A is how many times as far from Earth as Star B?
Answer:
Concept: Numerical Analysis
Star A is 3.4 ×10 ^18Star B is 6.8 × 10^16Hence we want how much farther Star A is from Star B.Hence Star A/Star B = 50 times fartherRATE BRAINLISTAnswer:
1/50 as far
Step-by-step explanation:
6.8 x 10[tex]^{16}[/tex] ÷ 3.4 x 10[tex]^{18}[/tex]
Rules state that you divide numbers and subtract exponents
6.8/3.4 = 2
10[tex]^{16}[/tex] ÷ 10[tex]^{18}[/tex] = [tex]10^{-2}[/tex]
whenever exponent is negative, it gets turned into a fraction with 1 as the numerator and the exponent will become positive when placed in the denominator
10^-2 = 1/10^2 which is the same as 1/100
2 multiplied by 1/100 = 1/50
Jesse added two more numbers to his expression, but the sum did not change. What could the two new numbers be? Explain why the numbers you chose would not affect the sum of Jesse’s expression.
Answer:
0 and 0
Step-by-step explanation:
The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D
answer this problem and ill will give you brainliest
Answer:
It will be B. You’ll have an open circle on 4 with the arrow pointing left.
Step-by-step explanation: